Modelling of wave propagation in composite plates using the time domain spectral element method

Kudela, Paweł; Żak, Arkadiusz; Krawczuk, Marek; Ostachowicz, Wiesław

doi:10.1016/j.jsv.2006.12.016

Cited by 163 publications

(90 citation statements)

References 24 publications

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“…TDSFEM has been successfully implemented for simulation of wave propagation in 1D, 2D and 3D waveguides [81][82][83][84], which includes modelling of piezoelectrically (PZT) induced wave propagation [83][84][85], and wave interaction with damages [86][87][88]. In many of these works, a 2D model with an appropriate plate theory has been adopted to reduce the number of degrees of freedom (DOFs) associated with 3D models [81,85,89].…”

Section: Methods Examplementioning

confidence: 99%

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz

2018

Applied Sciences

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Modern methods of detection and identification of structural damage direct the activities of scientific groups towards the improvement of diagnostic methods using for example the phenomenon of mechanical wave propagation. Damage detection methods that use mechanical wave propagation in structural components are extremely effective. Many different numerical approaches are used to model this phenomenon, but, due to their universal nature, spectral methods are the most commonly used, of which there are several types. This paper reviews recent research efforts in the field to show basic differences and effectiveness of the two most common spectral methods used for modelling the wave propagation problem in terms of damage detection.

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Section: Methods Examplementioning

confidence: 99%

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz

2018

Applied Sciences

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“…The solution must satisfy Christofel's equation for each layer, the continuity condition at the interfaces and the traction-free boundary conditions at the plate surfaces [2]. Base on Mindlin's plate theory approximate solution can be found [3]. This approach shows that group velocity of the transverse wave (which approximates A0 Lamb wave mode) is a function of a direction of propagation and relative volume fraction of fibres.…”

Section: Lamb Wavesmentioning

confidence: 99%

“…Both Finite Element Method and Finite Difference Method may be used for complex geometies [5] but they are not efficent enough for elastic wave propagation phenomenon modelling. Spectral Element Method developed by IFFM research group overcame those problems [3,6]. Additionally authors propose spectral elements for electromechanical coupling [7] which is important in case of piezoelectric transducer modelling.…”

Section: Wave Propagation Modellingmentioning

confidence: 99%

Structural health monitoring by means of elastic wave propagation

Ostachowicz

Radzieński

2012

J. Phys.: Conf. Ser.

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“…[2]. Kudela [3] uses spectral plate elements to simulate transverse wave propagation in a composite plate. This paper aims to extend the spectral plate elements to flat shell elements to be able to simulate stiffened panels that are very common in airplane structures.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Wave Propagation in Complex Structures with the Spectral Element Method

Schulte

Fritzen

2008

Proc Appl Math and Mech

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In nondestructive testing, the use of ultrasonic elastic waves has proven as one of the most successful principles to detect structural damage like cracks, delaminations etc. Especially, Structural Health Monitoring (SHM) is characterized by permanently installed embedded or surface-mounted actuators and sensors (e.g. piezoelectric patches). The capability of most approaches strongly depends on adequate choice of parameters like excitation signals and actuator/sensor positions. For this reason there is a growing interest in efficient and accurate simulation tools to shorten time and cost of the necessary pretests. With respect to high frequency excitation a computationally efficient method is required. This contribution presents the theoretical background of the spectral element method including the electro-mechanical coupling of piezo elements. The spectral element method generates a diagonal mass matrix leading to significant savings of memory and to a crucial reduction of complexity of the time integration algorithm. Both in-plane and out-of-plane waves can be handled. Numerical examples for the propagation of waves in stiffened structures are presented. The effect of improper placement of actuators/sensors is shown.

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Modelling of wave propagation in composite plates using the time domain spectral element method

Cited by 163 publications

References 24 publications

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Structural health monitoring by means of elastic wave propagation

Simulation of Wave Propagation in Complex Structures with the Spectral Element Method

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